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Finding the Fourth Proportional to 16,402.64, 24,603.92 and 4,090.64

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Solution

The fourth proportional to 16,402.64, 24,603.92 and 4,090.64 is: 6,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.64 : 24,603.92 = 4,090.64 : x
  2. Step 2: Convert to fraction form
    16,402.64/24,603.92 = 4,090.64/x
  3. Step 3: Cross multiply
    16,402.64x = 24,603.92 × 4,090.64
  4. Step 4: Simplify right side
    16,402.64x = 100,645,779.31
  5. Step 5: Solve for x
    x = 100,645,779.31/16,402.64
  6. Step 6: Final answer
    x = 6,135.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.